Q: What are the factor combinations of the number 330,420,035?

 A:
Positive:   1 x 3304200355 x 6608400711 x 3003818555 x 60076371031 x 3204855155 x 640975827 x 5670511341 x 29135
Negative: -1 x -330420035-5 x -66084007-11 x -30038185-55 x -6007637-1031 x -320485-5155 x -64097-5827 x -56705-11341 x -29135


How do I find the factor combinations of the number 330,420,035?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 330,420,035, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 330,420,035
-1 -330,420,035

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 330,420,035.

Example:
1 x 330,420,035 = 330,420,035
and
-1 x -330,420,035 = 330,420,035
Notice both answers equal 330,420,035

With that explanation out of the way, let's continue. Next, we take the number 330,420,035 and divide it by 2:

330,420,035 ÷ 2 = 165,210,017.5

If the quotient is a whole number, then 2 and 165,210,017.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 330,420,035
-1 -330,420,035

Now, we try dividing 330,420,035 by 3:

330,420,035 ÷ 3 = 110,140,011.6667

If the quotient is a whole number, then 3 and 110,140,011.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 330,420,035
-1 -330,420,035

Let's try dividing by 4:

330,420,035 ÷ 4 = 82,605,008.75

If the quotient is a whole number, then 4 and 82,605,008.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 330,420,035
-1 330,420,035
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1511551,0315,1555,82711,34129,13556,70564,097320,4856,007,63730,038,18566,084,007330,420,035
-1-5-11-55-1,031-5,155-5,827-11,341-29,135-56,705-64,097-320,485-6,007,637-30,038,185-66,084,007-330,420,035

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